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Finding the Fourth Proportional to 410,069.10, 615,200.85 and 210,420.30

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Solution

The fourth proportional to 410,069.10, 615,200.85 and 210,420.30 is: 315,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,069.10 : 615,200.85 = 210,420.30 : x
  2. Step 2: Convert to fraction form
    410,069.10/615,200.85 = 210,420.30/x
  3. Step 3: Cross multiply
    410,069.10x = 615,200.85 × 210,420.30
  4. Step 4: Simplify right side
    410,069.10x = 129,450,747,417.26
  5. Step 5: Solve for x
    x = 129,450,747,417.26/410,069.10
  6. Step 6: Final answer
    x = 315,680.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.